This question already has an answer here:

The problem asks:


I don't even know where to start. Do I need to find the width of the shaded areas, or something else completely?

UPDATE: Using the information given here, I was able to act as if the circles were inside of a square and use those methods.

Thank You


marked as duplicate by user228113, RKD, GNUSupporter 8964民主女神 地下教會, Blue geometry Dec 10 '17 at 23:31

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Hint: draw some sectors, and find the area of the curvy bit. $\endgroup$ – Sean Roberson Dec 10 '17 at 23:10
  • 2
    $\begingroup$ see answers of this $\endgroup$ – achille hui Dec 10 '17 at 23:11
  • 1
    $\begingroup$ By symmetry, integrate in polar coordinates from $0$ to $\pi/4$, then multiply by 8. The polar equation of the uppermost circle is $r=a\sin\theta$ for a circle of radius $a$. $\endgroup$ – Alexander Burstein Dec 10 '17 at 23:15
  • $\begingroup$ @achillehui, Thank You, I didn't realize those methods would be applicable here. $\endgroup$ – The Math Guy Dec 10 '17 at 23:18

Browse other questions tagged or ask your own question.